1110102111120 has 320 divisors, whose sum is σ = 3656972795904. Its totient is φ = 278075566080.

The previous prime is 1110102111073. The next prime is 1110102111169. The reversal of 1110102111120 is 211112010111.

It is a super-2 number, since 2×1110102111120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110102111096 and 1110102111105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121944489 + ... + 121953591.

Almost surely, 2^{1110102111120} is an apocalyptic number.

1110102111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110102111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828486397952).

1110102111120 is an abundant number, since it is smaller than the sum of its proper divisors (2546870684784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110102111120 is a wasteful number, since it uses less digits than its factorization.

1110102111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9630 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110102111120 its reverse (211112010111), we get a palindrome (1321214121231).

The spelling of 1110102111120 in words is "one trillion, one hundred ten billion, one hundred two million, one hundred eleven thousand, one hundred twenty".